The displacement of a particle is s=(2t3−9t2+12t) ms=(2t^3-9t^2+12t)\text{ m}s=(2t3−9t2+12t) m at time t t\,t seconds.
Show that the particle is instantaneously at rest when t=2t=2t=2.
Find its acceleration at this instant.
46 exam-style questions on OCR A Level Maths 3.2.6 Non-uniform acceleration in one dimension (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.